Asymptotic Expansion of the N=4 Dyon Degeneracy

Abstract

We study various aspects of power suppressed as well as exponentially suppressed corrections in the asymptotic expansion of the degeneracy of quarter BPS dyons in N=4 supersymmetric string theories. In particular we explicitly calculate the power suppressed corrections up to second order and the first exponentially suppressed corrections. We also propose a macroscopic origin of the exponentially suppressed corrections using the quantum entropy function formalism. This suggests a universal pattern of exponentially suppressed corrections to all four dimensional extremal black hole entropies in string theory.

LaTeX file, 2 figures, 28 pages; v2: added discussion on fermionic and bosonic zero modes of the AdS_2/Z_N solution, added references, rewrote footnote 4

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Cited by in corpus (8)

• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Supersymmetric Index from Black Hole Entropy
• Arithmetic of Quantum Entropy Function
• A Farey tale for N=4 dyons
• Discrete Information from CHL Black Holes
• Beyond Logarithmic Corrections to Cardy Formula
• Large D-instanton effects in string theory
• Stringy effects in black hole decay